The Collapse of Logical Pluralism has been Greatly Exaggerated
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According to the logical pluralism of Beall and Restall, there are several distinct relations of logical consequence. Some critics argue that logical pluralism suffers from what I call the collapse problem: that despite its intention to articulate a radically pluralistic doctrine about logic, the view unintentionally collapses into logical monism. In this paper, I propose a contextualist resolution of the collapse problem. This clarifies the mechanism responsible for a plurality of logics and handles the motivating data better than the original view. It is a major improvement that should be embraced by all logical pluralists.
KeywordsLogical Consequence Classical Logic Intuitionistic Logic Normative Principle Doxastic Position
I would like to thank the following people for their helpful comments on earlier drafts of this paper: Jamin Asay, Ben Burgis, Aiste Celkyte, Petr Cintula, Roy Cook, Yasuo Deguchi, Jiwon Kim, Hitoshi Omori, Nikolaj Pedersen, Jisoo Seo, Zach Weber, and Jeremy Wyatt.
- Barwise, J., & Perry, J. (1983). Situations and attitudes. Cambridge, MA: MIT Press.Google Scholar
- Beall, J., & Restall, G. (2006). Logical pluralism. Oxford: Oxford University Press.Google Scholar
- Caret, C. R., & Hjortland, O. T. (Eds.). (2015). Foundations of logical consequence. Oxford: Oxford University Press.Google Scholar
- Carnap, R. (1937). Logical syntax of language (trans: Smeaton, Amethe). London: Kegan Paul, Trench, Trubner & Co., Ltd.Google Scholar
- Field, H. (2015). What is logical validity?’ In Caret and Hjortland (2015) (pp. 33–70).Google Scholar
- Glanzberg, M. (2015). Logical consequence and natural language. In Caret and Hjortland (2015) (pp. 71–120).Google Scholar
- Goddu, G. C. (2002). What exactly is logical pluralism? Australasian Journal of Philosophy, 80, 218–230.Google Scholar
- Harman, G. (1986). Change in view: Principles of reasoning. Cambridge, MA: MIT Press.Google Scholar
- MacFarlane, J. (2004). In what sense (if any) is logic normative for thought? Unpublished draft of April 21, 2004, Retrieved from http://johnmacfarlane.net/work.html.
- Priest, G. (2001). Logic: One or many? In J. Woods & B. Brown (Eds.), Logical consequences: Rival approaches (pp. 23–38). Oxford: Hermes Scientific Publishers.Google Scholar
- Priest, G. (2006). Doubt truth to be a liar. Oxford: Oxford University Press.Google Scholar
- Quine, W. V. (1986). Philosophy of logic (2nd ed.). Cambridge, MA: Harvard University Press.Google Scholar
- Steinberger, F. (forthcoming). Frege and Carnap on the normativity of logic. Synthese.Google Scholar
- Steinberger, F. (2015). Three ways logic might be normative. Unpublished draft of January 27, 2015, retrieved from https://birkbeck.academia.edu/FlorianSteinberger.
- Wedgwood, R. (2002). The aim of belief. Philosophical Perspectives, 16, 267–297.Google Scholar
- Wedgwood, R. (2007). Normativism defended. In B. P. McLaughlin & J. Cohen (Eds.), Contemporary debates in philosophy of mind (pp. 85–101). London: Blackwell.Google Scholar